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Popular >

simplify (w^2)/(w^4)dw

Solution

simplify

\frac{w ^{2}}{w ^{4}} d w

Solution

\frac{d w}{w ^{2}}

Solution steps

\frac{w ^{2}}{w ^{4}} d w

Apply exponent rule:

\frac{x ^{a}}{x ^{b}} = x^{a - b}

= w^{2 - 4} d w

Subtract the numbers:

2 - 4 = - 2

= w^{- 2} d w

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

w^{- 2} = \frac{1}{w ^{2}}

= \frac{1}{w ^{2}} d w

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot d w}{w ^{2}}

Multiply:

1 \cdot d w = d w

= \frac{d w}{w ^{2}}

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Frequently Asked Questions (FAQ)

What is (w^2)/(w^4)dw ?
The solution to (w^2)/(w^4)dw is (dw)/(w^2)